Transpose
Matrix operation which flips a matrix over its diagonal / From Wikipedia, the free encyclopedia
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This article is about the transpose of matrices and linear operators. For other uses, see Transposition (disambiguation).
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations).[1]
The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley.[2] In the case of a logical matrix representing a binary relation R, the transpose corresponds to the converse relation RT.